The foundation of the house is 13 m x 7 m if the builder increases each dimension by the same amount the area of the foundation will increase to 135 m² find the new dimensions

New dimension:

Length = 15m

Width = 9m

Step-by-step explanation:

Length = 13m

Width = 7m

Area of a rectangle = length × width

New dimensions:

Length = (13 + x)m

Width = (7 + x)m

Where,

x = increase in each dimension

Area of a rectangle = length × width

(13 + x) × (7 + x) = 135

91 + 13x + 7x + x² = 135

91 + 20x + x² = 135

x² + 20x = 135 - 91

x² + 20x = 44

x² + 20x - 44 =0

Using factorization method to solve quadratic equation

x² - 2x + 22x - 44 = 0

x(x -2) + 22(x - 2) = 0

(x - 2) (x + 22) = 0

x = 2 , x = -22

The increase can not be a negative value

Therefore, the increase in the dimensions is 2 inches

New dimensions:

Length = (13 + x)m

= (13+2)m

= 15m

Width = (7 + x)m

= (7+2)m

= 9m

idk

step-by-step explanation:

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